What is the Greatest Common Factor of 22780 and 22787?

Greatest common factor (GCF) of 22780 and 22787 is 1.

GCF(22780,22787) = 1

We will now calculate the prime factors of 22780 and 22787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22780 and 22787.

How to find the GCF of 22780 and 22787?

We will first find the prime factorization of 22780 and 22787. After we will calculate the factors of 22780 and 22787 and find the biggest common factor number .

Step-1: Prime Factorization of 22780

Prime factors of 22780 are 2, 5, 17, 67. Prime factorization of 22780 in exponential form is:

22780 = 2² × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 22787

Prime factors of 22787 are 22787. Prime factorization of 22787 in exponential form is:

22787 = 22787¹

Step-3: Factors of 22780

List of positive integer factors of 22780 that divides 22780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 67, 68, 85, 134, 170, 268, 335, 340, 670, 1139, 1340, 2278, 4556, 5695, 11390

Step-4: Factors of 22787

List of positive integer factors of 22787 that divides 22780 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22780 and 22787. The biggest common factor number is the GCF number.
So the greatest common factor 22780 and 22787 is 1.

Also check out the Least Common Multiple of 22780 and 22787